Yup. Stronglight made most of the "Peugeot" bottom brackets. I sure would like a look at the broken cup. I've never seen one. Cross threaded,..yes.
The bottom bracket is almost assuredly wider than most so measure carefully before ordering anything. There not terribly expensive so I'd order one with English threading and, If it doesn't easily screw in, move to the next most common threading which is Italian I think. Someone here will certainly correct me if I'm wrong. I love the look of those old Stronglights. Your working on the most troublesome part of your Peugeot so take heart. Once you get past this, things should get easier. I like old Peugeots and think the effort is worthwhile but they are a handful normally. I have run into a few that are all English thread but it's a little rare. Good luck and send pictures whenever you can.